87971607 has 12 divisors (see below), whose sum is σ = 130504920. Its totient is φ = 57062448.

The previous prime is 87971591. The next prime is 87971633. The reversal of 87971607 is 70617978.

It is a happy number.

It is not a de Polignac number, because 87971607 - 2⁴ = 87971591 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87971657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131757 + ... + 132422.

It is an arithmetic number, because the mean of its divisors is an integer number (10875410).

Almost surely, 2^87971607 is an apocalyptic number.

87971607 is a deficient number, since it is larger than the sum of its proper divisors (42533313).

87971607 is a wasteful number, since it uses less digits than its factorization.

87971607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264222 (or 264219 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 87971607 is about 9379.3180455724. The cubic root of 87971607 is about 444.7481754933.

It can be divided in two parts, 8797 and 1607, that added together give a square (10404 = 102²).

The spelling of 87971607 in words is "eighty-seven million, nine hundred seventy-one thousand, six hundred seven".