14618961 has 80 divisors (see below), whose sum is σ = 27878400. Its totient is φ = 7441632.

The previous prime is 14618957. The next prime is 14618969. The reversal of 14618961 is 16981641.

14618961 = 89² + 90² + ... + 354².

It is a happy number.

14618961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14618961 - 2² = 14618957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14618969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 247750 + ... + 247808.

It is an arithmetic number, because the mean of its divisors is an integer number (348480).

Almost surely, 2^14618961 is an apocalyptic number.

It is an amenable number.

14618961 is a deficient number, since it is larger than the sum of its proper divisors (13259439).

14618961 is a wasteful number, since it uses less digits than its factorization.

14618961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 14618961 is about 3823.4749901104. The cubic root of 14618961 is about 244.5149977627.

The spelling of 14618961 in words is "fourteen million, six hundred eighteen thousand, nine hundred sixty-one".