117533031 has 64 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 56764800.

The previous prime is 117533029. The next prime is 117533033. The reversal of 117533031 is 130335711.

117533031 = 36² + 37² + ... + 706².

It is an interprime number because it is at equal distance from previous prime (117533029) and next prime (117533033).

It is not a de Polignac number, because 117533031 - 2¹ = 117533029 is a prime.

It is a super-2 number, since 2×117533031² = 27628026752093922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117532992 and 117533010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117533033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267510 + ... + 267948.

It is an arithmetic number, because the mean of its divisors is an integer number (3273600).

Almost surely, 2^117533031 is an apocalyptic number.

117533031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117533031 is a deficient number, since it is larger than the sum of its proper divisors (91977369).

117533031 is a wasteful number, since it uses less digits than its factorization.

117533031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 117533031 is about 10841.2651936940. The cubic root of 117533031 is about 489.8389460986.

Adding to 117533031 its reverse (130335711), we get a palindrome (247868742).

The spelling of 117533031 in words is "one hundred seventeen million, five hundred thirty-three thousand, thirty-one".