7117131 has 16 divisors (see below), whose sum is σ = 10900224. Its totient is φ = 4046304.

The previous prime is 7117129. The next prime is 7117133. The reversal of 7117131 is 1317117.

It is an interprime number because it is at equal distance from previous prime (7117129) and next prime (7117133).

It is not a de Polignac number, because 7117131 - 2¹ = 7117129 is a prime.

It is a super-2 number, since 2×7117131² = 101307107342322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7117098 and 7117107.

It is not an unprimeable number, because it can be changed into a prime (7117133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4021 + ... + 5513.

It is an arithmetic number, because the mean of its divisors is an integer number (681264).

Almost surely, 2^7117131 is an apocalyptic number.

7117131 is a deficient number, since it is larger than the sum of its proper divisors (3783093).

7117131 is a wasteful number, since it uses less digits than its factorization.

7117131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730.

The product of its digits is 147, while the sum is 21.

The square root of 7117131 is about 2667.7951570539. The cubic root of 7117131 is about 192.3541910411.

The spelling of 7117131 in words is "seven million, one hundred seventeen thousand, one hundred thirty-one".