82165401 has 16 divisors (see below), whose sum is σ = 122011200. Its totient is φ = 54648864.

The previous prime is 82165379. The next prime is 82165463. The reversal of 82165401 is 10456128.

82165401 is a `hidden beast` number, since 8 + 2 + 1 + 654 + 0 + 1 = 666.

It is not a de Polignac number, because 82165401 - 2⁶ = 82165337 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (82165201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9010 + ... + 15668.

It is an arithmetic number, because the mean of its divisors is an integer number (7625700).

Almost surely, 2^82165401 is an apocalyptic number.

It is an amenable number.

82165401 is a deficient number, since it is larger than the sum of its proper divisors (39845799).

82165401 is a wasteful number, since it uses less digits than its factorization.

82165401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82165401 is about 9064.5132798182. The cubic root of 82165401 is about 434.7400587298.

The spelling of 82165401 in words is "eighty-two million, one hundred sixty-five thousand, four hundred one".