87082101 has 16 divisors (see below), whose sum is σ = 129155520. Its totient is φ = 57989520.

The previous prime is 87082097. The next prime is 87082103. The reversal of 87082101 is 10128078.

It is not a de Polignac number, because 87082101 - 2² = 87082097 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87082103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41391 + ... + 43443.

It is an arithmetic number, because the mean of its divisors is an integer number (8072220).

Almost surely, 2^87082101 is an apocalyptic number.

It is an amenable number.

87082101 is a deficient number, since it is larger than the sum of its proper divisors (42073419).

87082101 is a wasteful number, since it uses less digits than its factorization.

87082101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 87082101 is about 9331.7790908272. The cubic root of 87082101 is about 443.2441028072.

The spelling of 87082101 in words is "eighty-seven million, eighty-two thousand, one hundred one".