331749 has 16 divisors (see below), whose sum is σ = 536640. Its totient is φ = 200880.

The previous prime is 331739. The next prime is 331753. The reversal of 331749 is 947133.

It is a de Polignac number, because none of the positive numbers 2^k-331749 is a prime.

It is a super-2 number, since 2×331749² = 220114798002, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331739) 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 15 ways as a sum of consecutive naturals, for example, 262 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (33540).

331749 is a Friedman number, since it can be written as (31-7)^4-9*3, using all its digits and the basic arithmetic operations.

2³³¹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

331749 is a deficient number, since it is larger than the sum of its proper divisors (204891).

331749 is a wasteful number, since it uses less digits than its factorization.

331749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 331749 is about 575.9765620231. The cubic root of 331749 is about 69.2261013947.

Adding to 331749 its sum of digits (27), we get a 4-th power (331776 = 24⁴).

The spelling of 331749 in words is "three hundred thirty-one thousand, seven hundred forty-nine".