34124951 has 16 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 28193568.

The previous prime is 34124911. The next prime is 34124953. The reversal of 34124951 is 15942143.

It is a cyclic number.

It is not a de Polignac number, because 34124951 - 2¹⁴ = 34108567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21110 + ... + 22668.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^34124951 is an apocalyptic number.

34124951 is a deficient number, since it is larger than the sum of its proper divisors (6310249).

34124951 is a wasteful number, since it uses less digits than its factorization.

34124951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678.

The product of its digits is 4320, while the sum is 29.

The square root of 34124951 is about 5841.6565287596. The cubic root of 34124951 is about 324.3575505876.

The spelling of 34124951 in words is "thirty-four million, one hundred twenty-four thousand, nine hundred fifty-one".