34872961 has 6 divisors (see below), whose sum is σ = 36805362. Its totient is φ = 33037200.

The previous prime is 34872949. The next prime is 34872973. The reversal of 34872961 is 16927843.

It is an interprime number because it is at equal distance from previous prime (34872949) and next prime (34872973).

It can be written as a sum of positive squares in only one way, i.e., 29322225 + 5550736 = 5415^2 + 2356^2 .

It is not a de Polignac number, because 34872961 - 2¹³ = 34864769 is a prime.

It is a super-2 number, since 2×34872961² = 2432246817815042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34872911) 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, 47940 + ... + 48661.

It is an arithmetic number, because the mean of its divisors is an integer number (6134227).

Almost surely, 2^34872961 is an apocalyptic number.

It is an amenable number.

34872961 is a deficient number, since it is larger than the sum of its proper divisors (1932401).

34872961 is an equidigital number, since it uses as much as digits as its factorization.

34872961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96639 (or 96620 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 34872961 is about 5905.3332674795. Note that the first 3 decimals coincide. The cubic root of 34872961 is about 326.7103864618.

The spelling of 34872961 in words is "thirty-four million, eight hundred seventy-two thousand, nine hundred sixty-one".