32970105 has 64 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 14904000.

The previous prime is 32970103. The next prime is 32970107. The reversal of 32970105 is 50107923.

It is an interprime number because it is at equal distance from previous prime (32970103) and next prime (32970107).

It is not a de Polignac number, because 32970105 - 2¹ = 32970103 is a prime.

It is a super-2 number, since 2×32970105² = 2174055647422050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32970101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131230 + ... + 131480.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^32970105 is an apocalyptic number.

32970105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32970105 is an abundant number, since it is smaller than the sum of its proper divisors (34767495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32970105 is a wasteful number, since it uses less digits than its factorization.

32970105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 32970105 is about 5741.9600312089. The cubic root of 32970105 is about 320.6565459198.

The spelling of 32970105 in words is "thirty-two million, nine hundred seventy thousand, one hundred five".