313649 has 12 divisors (see below), whose sum is σ = 376884. Its totient is φ = 260064.

The previous prime is 313639. The next prime is 313661. The reversal of 313649 is 946313.

313649 = 25² + 26² + ... + 98².

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 30625 = 532^2 + 175^2 .

It is a de Polignac number, because none of the positive numbers 2^k-313649 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313649.

It is not an unprimeable number, because it can be changed into a prime (313619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1727 + ... + 1899.

It is an arithmetic number, because the mean of its divisors is an integer number (31407).

2³¹³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

313649 is a deficient number, since it is larger than the sum of its proper divisors (63235).

313649 is a wasteful number, since it uses less digits than its factorization.

313649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 313649 is about 560.0437482911. The cubic root of 313649 is about 67.9435084455.

It can be divided in two parts, 3136 and 49, that multiplied together give a square (153664 = 392²).

The spelling of 313649 in words is "three hundred thirteen thousand, six hundred forty-nine".