88357 has 4 divisors (see below), whose sum is σ = 89100. Its totient is φ = 87616.

The previous prime is 88339. The next prime is 88379. The reversal of 88357 is 75388.

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 can be written as a sum of positive squares in 2 ways, for example, as 30276 + 58081 = 174^2 + 241^2 .

It is a 3-Lehmer number, since φ(88357) divides (88357-1)³.

It is a cyclic number.

It is not a de Polignac number, because 88357 - 2¹⁵ = 55589 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

It is a Poulet number, since it divides 2⁸⁸³⁵⁶-1.

2⁸⁸³⁵⁷ is an apocalyptic number.

88357 is the 149-th decagonal number.

It is an amenable number.

88357 is a deficient number, since it is larger than the sum of its proper divisors (743).

88357 is a wasteful number, since it uses less digits than its factorization.

88357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742.

The product of its digits is 6720, while the sum is 31.

The square root of 88357 is about 297.2490538252. The cubic root of 88357 is about 44.5396692094.

Adding to 88357 its sum of digits (31), we get a palindrome (88388).

The spelling of 88357 in words is "eighty-eight thousand, three hundred fifty-seven".