87456925 has 36 divisors (see below), whose sum is σ = 120343860. Its totient is φ = 62824960.

The previous prime is 87456923. The next prime is 87456947. The reversal of 87456925 is 52965478.

87456925 is a nontrivial binomial coefficient, being equal to C(13226, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 1542564 + 85914361 = 1242^2 + 9269^2 .

It is not a de Polignac number, because 87456925 - 2¹ = 87456923 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87456923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224631 + ... + 225019.

It is an arithmetic number, because the mean of its divisors is an integer number (3342885).

Almost surely, 2^87456925 is an apocalyptic number.

87456925 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

87456925 is the 13225-th triangular number and also the 6613-rd hexagonal number.

87456925 is the 4409-th centered nonagonal number.

It is an amenable number.

87456925 is a deficient number, since it is larger than the sum of its proper divisors (32886935).

87456925 is a wasteful number, since it uses less digits than its factorization.

87456925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 434 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 87456925 is about 9351.8407278995. The cubic root of 87456925 is about 443.8791385043.

The spelling of 87456925 in words is "eighty-seven million, four hundred fifty-six thousand, nine hundred twenty-five".