87361625 has 32 divisors (see below), whose sum is σ = 120670368. Its totient is φ = 62726400.

The previous prime is 87361621. The next prime is 87361633. The reversal of 87361625 is 52616378.

It can be written as a sum of positive squares in 16 ways, for example, as 32171584 + 55190041 = 5672^2 + 7429^2 .

It is not a de Polignac number, because 87361625 - 2² = 87361621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87361621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59399 + ... + 60851.

It is an arithmetic number, because the mean of its divisors is an integer number (3770949).

Almost surely, 2^87361625 is an apocalyptic number.

It is an amenable number.

87361625 is a deficient number, since it is larger than the sum of its proper divisors (33308743).

87361625 is a wasteful number, since it uses less digits than its factorization.

87361625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1508 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 87361625 is about 9346.7440855091. The cubic root of 87361625 is about 443.7178512714.

The spelling of 87361625 in words is "eighty-seven million, three hundred sixty-one thousand, six hundred twenty-five".