122591 has 8 divisors (see below), whose sum is σ = 142464. Its totient is φ = 103320.

The previous prime is 122579. The next prime is 122597. The reversal of 122591 is 195221.

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

It is not a de Polignac number, because 122591 - 2⁶ = 122527 is a prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122591.

It is not an unprimeable number, because it can be changed into a prime (122597) 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, 476 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (17808).

2¹²²⁵⁹¹ is an apocalyptic number.

122591 is a deficient number, since it is larger than the sum of its proper divisors (19873).

122591 is an equidigital number, since it uses as much as digits as its factorization.

122591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301.

The product of its digits is 180, while the sum is 20.

The square root of 122591 is about 350.1299758661. The cubic root of 122591 is about 49.6767142313.

The spelling of 122591 in words is "one hundred twenty-two thousand, five hundred ninety-one".