87354801 has 32 divisors (see below), whose sum is σ = 134520320. Its totient is φ = 55983312.

The previous prime is 87354769. The next prime is 87354809. The reversal of 87354801 is 10845378.

It is not a de Polignac number, because 87354801 - 2⁵ = 87354769 is a prime.

It is a super-2 number, since 2×87354801² = 15261722515499202, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87354809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77226 + ... + 78348.

It is an arithmetic number, because the mean of its divisors is an integer number (4203760).

Almost surely, 2^87354801 is an apocalyptic number.

It is an amenable number.

87354801 is a deficient number, since it is larger than the sum of its proper divisors (47165519).

87354801 is a wasteful number, since it uses less digits than its factorization.

87354801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87354801 is about 9346.3790314752. The cubic root of 87354801 is about 443.7062977262.

The spelling of 87354801 in words is "eighty-seven million, three hundred fifty-four thousand, eight hundred one".