34351 has 2 divisors, whose sum is σ = 34352. Its totient is φ = 34350.

The previous prime is 34337. The next prime is 34361. The reversal of 34351 is 15343.

34351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34351 - 2⁵ = 34319 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17175 + 17176.

It is an arithmetic number, because the mean of its divisors is an integer number (17176).

2³⁴³⁵¹ is an apocalyptic number.

34351 is a deficient number, since it is larger than the sum of its proper divisors (1).

34351 is an equidigital number, since it uses as much as digits as its factorization.

34351 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 16.

The square root of 34351 is about 185.3402276895. The cubic root of 34351 is about 32.5072173320.

Adding to 34351 its reverse (15343), we get a palindrome (49694).

The spelling of 34351 in words is "thirty-four thousand, three hundred fifty-one".