313950 has 96 divisors (see below), whose sum is σ = 999936. Its totient is φ = 63360.

The previous prime is 313949. The next prime is 313961. The reversal of 313950 is 59313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13639 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2³¹³⁹⁵⁰ is an apocalyptic number.

313950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

313950 is an abundant number, since it is smaller than the sum of its proper divisors (685986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313950 is a wasteful number, since it uses less digits than its factorization.

313950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 313950 is about 560.3124128555. The cubic root of 313950 is about 67.9652359790.

The spelling of 313950 in words is "three hundred thirteen thousand, nine hundred fifty".