34977943 has 32 divisors (see below), whose sum is σ = 47642112. Its totient is φ = 24796800.

The previous prime is 34977919. The next prime is 34977967.

It is a happy number.

34977943 is nontrivially palindromic in base 10.

34977943 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34977919) and next prime (34977967).

It is not a de Polignac number, because 34977943 - 2¹³ = 34969751 is a prime.

It is a super-2 number, since 2×34977943² = 2446912993022498, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34977893 and 34977902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34977343) 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 31 ways as a sum of consecutive naturals, for example, 82873 + ... + 83293.

It is an arithmetic number, because the mean of its divisors is an integer number (1488816).

Almost surely, 2^34977943 is an apocalyptic number.

34977943 is a deficient number, since it is larger than the sum of its proper divisors (12664169).

34977943 is a wasteful number, since it uses less digits than its factorization.

34977943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535.

The product of its digits is 571536, while the sum is 46.

The square root of 34977943 is about 5914.2153325695. The cubic root of 34977943 is about 327.0379023796.

The spelling of 34977943 in words is "thirty-four million, nine hundred seventy-seven thousand, nine hundred forty-three".