361418121 has 9 divisors (see below), whose sum is σ = 522130791. Its totient is φ = 240907392.

The previous prime is 361418093. The next prime is 361418149. The reversal of 361418121 is 121814163.

It is a happy number.

The square root of 361418121 is 19011.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (361418093) and next prime (361418149).

It can be written as a sum of positive squares in only one way, i.e., 126225225 + 235192896 = 11235^2 + 15336^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 361418121 - 2⁵ = 361418089 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (361418621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53865 + ... + 60201.

Almost surely, 2^361418121 is an apocalyptic number.

361418121 is the 19011-st square number.

361418121 is the 9506-th centered octagonal number.

It is an amenable number.

361418121 is a deficient number, since it is larger than the sum of its proper divisors (160712670).

361418121 is an frugal number, since it uses more digits than its factorization.

361418121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 6340 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The cubic root of 361418121 is about 712.3115305755.

The spelling of 361418121 in words is "three hundred sixty-one million, four hundred eighteen thousand, one hundred twenty-one".