32400117 has 6 divisors (see below), whose sum is σ = 46800182. Its totient is φ = 21600072.

The previous prime is 32400103. The next prime is 32400131. The reversal of 32400117 is 71100423.

It is an interprime number because it is at equal distance from previous prime (32400103) and next prime (32400131).

It can be written as a sum of positive squares in only one way, i.e., 21150801 + 11249316 = 4599^2 + 3354^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32400117 is a prime.

It is a super-2 number, since 2×32400117² = 2099535163227378, which contains 22 as substring.

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 32400117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32400157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1799998 + ... + 1800015.

Almost surely, 2^32400117 is an apocalyptic number.

It is an amenable number.

32400117 is a deficient number, since it is larger than the sum of its proper divisors (14400065).

32400117 is a wasteful number, since it uses less digits than its factorization.

32400117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600019 (or 3600016 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 32400117 is about 5692.1100656962. The cubic root of 32400117 is about 318.7979544921.

The spelling of 32400117 in words is "thirty-two million, four hundred thousand, one hundred seventeen".