122461 has 4 divisors (see below), whose sum is σ = 123424. Its totient is φ = 121500.

The previous prime is 122453. The next prime is 122471. The reversal of 122461 is 164221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 164221 = 97 ⋅1693.

It is a 5-Lehmer number, since φ(122461) divides (122461-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 122461 - 2³ = 122453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122401) 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, 255 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (30856).

2¹²²⁴⁶¹ is an apocalyptic number.

122461 is the 157-th centered decagonal number.

It is an amenable number.

122461 is a deficient number, since it is larger than the sum of its proper divisors (963).

122461 is an equidigital number, since it uses as much as digits as its factorization.

122461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962.

The product of its digits is 96, while the sum is 16.

The square root of 122461 is about 349.9442812792. The cubic root of 122461 is about 49.6591483497.

Adding to 122461 its reverse (164221), we get a palindrome (286682).

The spelling of 122461 in words is "one hundred twenty-two thousand, four hundred sixty-one".