120657 has 8 divisors (see below), whose sum is σ = 165376. Its totient is φ = 78192.

The previous prime is 120647. The next prime is 120661. The reversal of 120657 is 756021.

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

It is not a de Polignac number, because 120657 - 2⁴ = 120641 is a prime.

It is a super-2 number, since 2×120657² = 29116223298, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120657.

It is not an unprimeable number, because it can be changed into a prime (120607) 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, 433 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (20672).

2¹²⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

120657 is a deficient number, since it is larger than the sum of its proper divisors (44719).

120657 is a wasteful number, since it uses less digits than its factorization.

120657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120657 is about 347.3571648894. The cubic root of 120657 is about 49.4140944446.

Adding to 120657 its reverse (756021), we get a palindrome (876678).

It can be divided in two parts, 120 and 657, that added together give a palindrome (777).

The spelling of 120657 in words is "one hundred twenty thousand, six hundred fifty-seven".