82625427 has 20 divisors (see below), whose sum is σ = 123860440. Its totient is φ = 54890784.

The previous prime is 82625399. The next prime is 82625479. The reversal of 82625427 is 72452628.

82625427 is a `hidden beast` number, since 8 + 2 + 625 + 4 + 27 = 666.

It is not a de Polignac number, because 82625427 - 2⁶ = 82625363 is a prime.

It is a super-2 number, since 2×82625427² = 13653922373864658, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (53760) is a multiple of the sum of its prime factors (3584).

It is a junction number, because it is equal to n+sod(n) for n = 82625391 and 82625400.

It is not an unprimeable number, because it can be changed into a prime (82625027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23724 + ... + 26982.

It is an arithmetic number, because the mean of its divisors is an integer number (6193022).

Almost surely, 2^82625427 is an apocalyptic number.

82625427 is a deficient number, since it is larger than the sum of its proper divisors (41235013).

82625427 is a wasteful number, since it uses less digits than its factorization.

82625427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3575 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 82625427 is about 9089.8529691079. The cubic root of 82625427 is about 435.5498872297.

It can be divided in two parts, 826254 and 27, that added together give a square (826281 = 909²).

The spelling of 82625427 in words is "eighty-two million, six hundred twenty-five thousand, four hundred twenty-seven".