101672657 has 4 divisors (see below), whose sum is σ = 101706660. Its totient is φ = 101638656.

The previous prime is 101672651. The next prime is 101672663. The reversal of 101672657 is 756276101.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (101672651) and next prime (101672663).

It can be written as a sum of positive squares in 2 ways, for example, as 98227921 + 3444736 = 9911^2 + 1856^2 .

It is a cyclic number.

It is not a de Polignac number, because 101672657 - 2¹⁴ = 101656273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101672651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12032 + ... + 18657.

It is an arithmetic number, because the mean of its divisors is an integer number (25426665).

Almost surely, 2^101672657 is an apocalyptic number.

It is an amenable number.

101672657 is a deficient number, since it is larger than the sum of its proper divisors (34003).

101672657 is an equidigital number, since it uses as much as digits as its factorization.

101672657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34002.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 101672657 is about 10083.2860219276. The cubic root of 101672657 is about 466.7325155946.

The spelling of 101672657 in words is "one hundred one million, six hundred seventy-two thousand, six hundred fifty-seven".