352971 has 16 divisors (see below), whose sum is σ = 554400. Its totient is φ = 221184.

The previous prime is 352951. The next prime is 352973. The reversal of 352971 is 179253.

It is not a de Polignac number, because 352971 - 2⁵ = 352939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

352971 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2³⁵²⁹⁷¹ is an apocalyptic number.

352971 is a deficient number, since it is larger than the sum of its proper divisors (201429).

352971 is a wasteful number, since it uses less digits than its factorization.

352971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 352971 is about 594.1136254960. The cubic root of 352971 is about 70.6718307408.

It can be divided in two parts, 3529 and 71, that added together give a square (3600 = 60²).

The spelling of 352971 in words is "three hundred fifty-two thousand, nine hundred seventy-one".