351649 has 3 divisors (see below), whose sum is σ = 352243. Its totient is φ = 351056.

The previous prime is 351643. The next prime is 351653. The reversal of 351649 is 946153.

The square root of 351649 is 593.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 216225 + 135424 = 465^2 + 368^2 .

It is not a de Polignac number, because 351649 - 2¹⁵ = 318881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351643) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 297 + ... + 889.

351649 is a Friedman number, since it can be written as 593^(6-4*1), using all its digits and the basic arithmetic operations.

2³⁵¹⁶⁴⁹ is an apocalyptic number.

351649 is the 593-rd square number.

351649 is the 297-th centered octagonal number.

It is an amenable number.

351649 is a deficient number, since it is larger than the sum of its proper divisors (594).

351649 is an frugal number, since it uses more digits than its factorization.

351649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 593 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The cubic root of 351649 is about 70.5834901086.

It can be divided in two parts, 351 and 649, that added together give a cube (1000 = 10³).

The spelling of 351649 in words is "three hundred fifty-one thousand, six hundred forty-nine".