73947 has 6 divisors (see below), whose sum is σ = 99228. Its totient is φ = 48984.

The previous prime is 73943. The next prime is 73951. The reversal of 73947 is 74937.

73947 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (73943) and next prime (73951).

It is not a de Polignac number, because 73947 - 2² = 73943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 393 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (16538).

2⁷³⁹⁴⁷ is an apocalyptic number.

73947 is a deficient number, since it is larger than the sum of its proper divisors (25281).

73947 is an equidigital number, since it uses as much as digits as its factorization.

73947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 160 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 73947 is about 271.9319767883. The cubic root of 73947 is about 41.9733390887.

Multiplying 73947 by its product of digits (5292), we get a square (391327524 = 19782²).

Subtracting 73947 from its reverse (74937), we obtain a triangular number (990 = T₄₄).

The spelling of 73947 in words is "seventy-three thousand, nine hundred forty-seven".