82053135 has 32 divisors (see below), whose sum is σ = 154457280. Its totient is φ = 41186304.

The previous prime is 82053133. The next prime is 82053137. The reversal of 82053135 is 53135028.

It is an interprime number because it is at equal distance from previous prime (82053133) and next prime (82053137).

It is not a de Polignac number, because 82053135 - 2¹ = 82053133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82053099 and 82053108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82053131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15582 + ... + 20171.

It is an arithmetic number, because the mean of its divisors is an integer number (4826790).

Almost surely, 2^82053135 is an apocalyptic number.

82053135 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82053135 is a deficient number, since it is larger than the sum of its proper divisors (72404145).

82053135 is a wasteful number, since it uses less digits than its factorization.

82053135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35784 (or 35778 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 82053135 is about 9058.3185525792. The cubic root of 82053135 is about 434.5419673493.

The spelling of 82053135 in words is "eighty-two million, fifty-three thousand, one hundred thirty-five".