115419961 has 8 divisors (see below), whose sum is σ = 118735848. Its totient is φ = 112128000.

The previous prime is 115419949. The next prime is 115419973. The reversal of 115419961 is 169914511.

It is an interprime number because it is at equal distance from previous prime (115419949) and next prime (115419973).

It can be written as a sum of positive squares in 4 ways, for example, as 6864400 + 108555561 = 2620^2 + 10419^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 115419961 - 2⁵ = 115419929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115419961.

It is not an unprimeable number, because it can be changed into a prime (115419061) 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, 4041 + ... + 15721.

It is an arithmetic number, because the mean of its divisors is an integer number (14841981).

Almost surely, 2^115419961 is an apocalyptic number.

It is an amenable number.

115419961 is a deficient number, since it is larger than the sum of its proper divisors (3315887).

115419961 is a wasteful number, since it uses less digits than its factorization.

115419961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963.

The product of its digits is 9720, while the sum is 37.

The square root of 115419961 is about 10743.3682334732. The cubic root of 115419961 is about 486.8856496105.

It can be divided in two parts, 1154 and 19961, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 115419961 in words is "one hundred fifteen million, four hundred nineteen thousand, nine hundred sixty-one".