355020964 has 9 divisors (see below), whose sum is σ = 621352641. Its totient is φ = 177491640.

The previous prime is 355020961. The next prime is 355020997. The reversal of 355020964 is 469020553.

The square root of 355020964 is 18842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 115390564 + 239630400 = 10742^2 + 15480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355020961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32974 + ... + 42394.

Almost surely, 2^355020964 is an apocalyptic number.

355020964 is the 18842-nd square number.

It is an amenable number.

355020964 is a deficient number, since it is larger than the sum of its proper divisors (266331677).

355020964 is an frugal number, since it uses more digits than its factorization.

355020964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18846 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The cubic root of 355020964 is about 708.0838128406.

Multiplying 355020964 by its product of nonzero digits (32400), we get a square (11502679233600 = 3391560²).

The spelling of 355020964 in words is "three hundred fifty-five million, twenty thousand, nine hundred sixty-four".