87254801 has 16 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 79210560.

The previous prime is 87254767. The next prime is 87254807. The reversal of 87254801 is 10845278.

It is a cyclic number.

It is not a de Polignac number, because 87254801 - 2¹⁸ = 86992657 is a prime.

It is a super-2 number, since 2×87254801² = 15226800595099202, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87254807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36635 + ... + 38943.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2^87254801 is an apocalyptic number.

It is an amenable number.

87254801 is a deficient number, since it is larger than the sum of its proper divisors (8545519).

87254801 is a wasteful number, since it uses less digits than its factorization.

87254801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416.

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 87254801 is about 9341.0278342375. The cubic root of 87254801 is about 443.5369211484.

The spelling of 87254801 in words is "eighty-seven million, two hundred fifty-four thousand, eight hundred one".