945313 has 8 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 887040.

The previous prime is 945293. The next prime is 945331. The reversal of 945313 is 313549.

945313 = 687² + 688².

945313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 762129 = 428^2 + 873^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 945313 - 2¹³ = 937121 is a prime.

It is a super-3 number, since 3×945313³ = 2534242359743337891, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (942313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633 + ... + 1513.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

2⁹⁴⁵³¹³ is an apocalyptic number.

945313 is the 688-th centered square number.

It is an amenable number.

945313 is a deficient number, since it is larger than the sum of its proper divisors (60167).

945313 is a wasteful number, since it uses less digits than its factorization.

945313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947.

The product of its digits is 1620, while the sum is 25.

The square root of 945313 is about 972.2720812612. The cubic root of 945313 is about 98.1428224352.

The spelling of 945313 in words is "nine hundred forty-five thousand, three hundred thirteen".