4115961 has 8 divisors (see below), whose sum is σ = 6097760. Its totient is φ = 2743956.

The previous prime is 4115957. The next prime is 4115971. The reversal of 4115961 is 1695114.

It is not a de Polignac number, because 4115961 - 2² = 4115957 is a prime.

It is a super-2 number, since 2×4115961² = 33882269907042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 152443 = 4115961 / (4 + 1 + 1 + 5 + 9 + 6 + 1).

It is a Duffinian number.

4115961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4115971) 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, 76195 + ... + 76248.

It is an arithmetic number, because the mean of its divisors is an integer number (762220).

Almost surely, 2^4115961 is an apocalyptic number.

It is an amenable number.

4115961 is a deficient number, since it is larger than the sum of its proper divisors (1981799).

4115961 is a wasteful number, since it uses less digits than its factorization.

4115961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152452 (or 152446 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 4115961 is about 2028.7831328163. The cubic root of 4115961 is about 160.2594877897.

The spelling of 4115961 in words is "four million, one hundred fifteen thousand, nine hundred sixty-one".