87764314164121 has 15 divisors (see below), whose sum is σ = 102386143175711. Its totient is φ = 75226161530856.

The previous prime is 87764314164119. The next prime is 87764314164139. The reversal of 87764314164121 is 12146141346778.

The square root of 87764314164121 is 9368261.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16385810147721 + 71378504016400 = 4047939^2 + 8448580^2 .

It is not a de Polignac number, because 87764314164121 - 2¹ = 87764314164119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87764314164181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 458949195 + ... + 459140383.

Almost surely, 2^{87764314164121} is an apocalyptic number.

87764314164121 is the 9368261-st square number.

87764314164121 is the 4684131-st centered octagonal number.

It is an amenable number.

87764314164121 is a deficient number, since it is larger than the sum of its proper divisors (14621829011590).

87764314164121 is an frugal number, since it uses more digits than its factorization.

87764314164121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382406 (or 191196 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The spelling of 87764314164121 in words is "eighty-seven trillion, seven hundred sixty-four billion, three hundred fourteen million, one hundred sixty-four thousand, one hundred twenty-one".