82625946 has 64 divisors (see below), whose sum is σ = 189235200. Its totient is φ = 23841216.

The previous prime is 82625929. The next prime is 82625969. The reversal of 82625946 is 64952628.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82625898 and 82625907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187995 + ... + 188433.

It is an arithmetic number, because the mean of its divisors is an integer number (2956800).

Almost surely, 2^82625946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82625946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94617600).

82625946 is an abundant number, since it is smaller than the sum of its proper divisors (106609254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82625946 is a wasteful number, since it uses less digits than its factorization.

82625946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603.

The product of its digits is 207360, while the sum is 42.

The square root of 82625946 is about 9089.8815173796. The cubic root of 82625946 is about 435.5507991762.

The spelling of 82625946 in words is "eighty-two million, six hundred twenty-five thousand, nine hundred forty-six".