7961625 has 64 divisors (see below), whose sum is σ = 16872960. Its totient is φ = 3628800.

The previous prime is 7961621. The next prime is 7961651. The reversal of 7961625 is 5261697.

It is not a de Polignac number, because 7961625 - 2² = 7961621 is a prime.

7961625 is a lucky number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 7961625.

It is not an unprimeable number, because it can be changed into a prime (7961621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23457 + ... + 23793.

It is an arithmetic number, because the mean of its divisors is an integer number (263640).

Almost surely, 2^7961625 is an apocalyptic number.

7961625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7961625 is an abundant number, since it is smaller than the sum of its proper divisors (8911335).

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

7961625 is a wasteful number, since it uses less digits than its factorization.

7961625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 7961625 is about 2821.6351642266. The cubic root of 7961625 is about 199.6796956327.

The spelling of 7961625 in words is "seven million, nine hundred sixty-one thousand, six hundred twenty-five".