35251 has 2 divisors, whose sum is σ = 35252. Its totient is φ = 35250.

The previous prime is 35227. The next prime is 35257. The reversal of 35251 is 15253.

35251 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 35251 - 2⁹ = 34739 is a prime.

It is a nialpdrome in base 6.

It is not a weakly prime, because it can be changed into another prime (35257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17625 + 17626.

It is an arithmetic number, because the mean of its divisors is an integer number (17626).

2³⁵²⁵¹ is an apocalyptic number.

35251 is a deficient number, since it is larger than the sum of its proper divisors (1).

35251 is an equidigital number, since it uses as much as digits as its factorization.

35251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 150, while the sum is 16.

The square root of 35251 is about 187.7524966545. The cubic root of 35251 is about 32.7886709833.

It can be divided in two parts, 3 and 5251, that multiplied together give a triangular number (15753 = T₁₇₇).

The spelling of 35251 in words is "thirty-five thousand, two hundred fifty-one".