293972 has 12 divisors (see below), whose sum is σ = 588000. Its totient is φ = 125976.

The previous prime is 293957. The next prime is 293983. The reversal of 293972 is 279392.

293972 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹³ + 9 + 9⁵ + 3¹¹ + 7⁵ + 2¹⁵ .

It is a congruent number.

It is an unprimeable number.

293972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5222 + ... + 5277.

It is an arithmetic number, because the mean of its divisors is an integer number (49000).

2²⁹³⁹⁷² is an apocalyptic number.

It is an amenable number.

293972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

293972 is a wasteful number, since it uses less digits than its factorization.

293972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10508 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 293972 is about 542.1918479653. The cubic root of 293972 is about 66.4918866239.

The spelling of 293972 in words is "two hundred ninety-three thousand, nine hundred seventy-two".