351951 has 16 divisors (see below), whose sum is σ = 509184. Its totient is φ = 215424.

The previous prime is 351931. The next prime is 351959. The reversal of 351951 is 159153.

It is not a de Polignac number, because 351951 - 2⁵ = 351919 is a prime.

351951 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351959) 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 15 ways as a sum of consecutive naturals, for example, 3366 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (31824).

2³⁵¹⁹⁵¹ is an apocalyptic number.

351951 is a deficient number, since it is larger than the sum of its proper divisors (157233).

351951 is a wasteful number, since it uses less digits than its factorization.

351951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its digits is 675, while the sum is 24.

The square root of 351951 is about 593.2545827889. The cubic root of 351951 is about 70.6036902843.

It can be divided in two parts, 3519 and 51, that added together give a triangular number (3570 = T₈₄).

The spelling of 351951 in words is "three hundred fifty-one thousand, nine hundred fifty-one".