82087657 has 8 divisors (see below), whose sum is σ = 86774400. Its totient is φ = 77437584.

The previous prime is 82087633. The next prime is 82087673. The reversal of 82087657 is 75678028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82087657 - 2¹¹ = 82085609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82087157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4498 + ... + 13579.

It is an arithmetic number, because the mean of its divisors is an integer number (10846800).

Almost surely, 2^82087657 is an apocalyptic number.

It is an amenable number.

82087657 is a deficient number, since it is larger than the sum of its proper divisors (4686743).

82087657 is a wasteful number, since it uses less digits than its factorization.

82087657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18335.

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 82087657 is about 9060.2238934808. The cubic root of 82087657 is about 434.6029000384.

The spelling of 82087657 in words is "eighty-two million, eighty-seven thousand, six hundred fifty-seven".