34991 has 4 divisors (see below), whose sum is σ = 38184. Its totient is φ = 31800.

The previous prime is 34981. The next prime is 35023. The reversal of 34991 is 19943.

It is a happy number.

34991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 34991 - 2¹⁰ = 33967 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 34991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1580 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (9546).

34991 is a Friedman number, since it can be written as (9+9)^4/3-1, using all its digits and the basic arithmetic operations.

2³⁴⁹⁹¹ is an apocalyptic number.

34991 is a deficient number, since it is larger than the sum of its proper divisors (3193).

34991 is a wasteful number, since it uses less digits than its factorization.

34991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192.

The product of its digits is 972, while the sum is 26.

The square root of 34991 is about 187.0588142804. The cubic root of 34991 is about 32.7078590904.

It can be divided in two parts, 3 and 4991, that added together give a palindrome (4994).

The spelling of 34991 in words is "thirty-four thousand, nine hundred ninety-one".