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88831 = 211421

88831 has 4 divisors (see below), whose sum is σ = 89464. Its totient is φ = 88200.

The previous prime is 88819. The next prime is 88843. The reversal of 88831 is 13888.

It can be divided in two parts, 888 and 31, that added together give a palindrome (919).

88831 is a nontrivial binomial coefficient, being equal to C(422, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (88819) and next prime (88843).

It is a 3-Lehmer number, since φ(88831) divides (88831-1)3.

It is a cyclic number.

It is not a de Polignac number, because 88831 - 25 = 88799 is a prime.

It is a super-2 number, since 2×888312 = 15781893122, which contains 22 as substring.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 88831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (22366).

288831 is an apocalyptic number.

88831 is the 421-st triangular number and also the 211-st hexagonal number.

88831 is the 189-th centered pentagonal number and also the 141-st centered nonagonal number.

88831 is a deficient number, since it is larger than the sum of its proper divisors (633).

88831 is a wasteful number, since it uses less digits than its factorization.

88831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its digits is 1536, while the sum is 28.

The square root of 88831 is about 298.0452985705. The cubic root of 88831 is about 44.6191730525.

The spelling of 88831 in words is "eighty-eight thousand, eight hundred thirty-one".

Divisors: 1 211 421 88831