87959751 has 48 divisors (see below), whose sum is σ = 142172928. Its totient is φ = 47872000.

The previous prime is 87959749. The next prime is 87959761. The reversal of 87959751 is 15795978.

It is not a de Polignac number, because 87959751 - 2¹ = 87959749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 87959694 and 87959703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87959731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219151 + ... + 219551.

It is an arithmetic number, because the mean of its divisors is an integer number (2961936).

Almost surely, 2^87959751 is an apocalyptic number.

87959751 is a deficient number, since it is larger than the sum of its proper divisors (54213177).

87959751 is a wasteful number, since it uses less digits than its factorization.

87959751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its digits is 793800, while the sum is 51.

The square root of 87959751 is about 9378.6859953834. The cubic root of 87959751 is about 444.7281949130.

The spelling of 87959751 in words is "eighty-seven million, nine hundred fifty-nine thousand, seven hundred fifty-one".