73353 has 12 divisors (see below), whose sum is σ = 114000. Its totient is φ = 41832.

The previous prime is 73351. The next prime is 73361. The reversal of 73353 is 35337.

It is not a de Polignac number, because 73353 - 2¹ = 73351 is a prime.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (73351) 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, 103 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (9500).

2⁷³³⁵³ is an apocalyptic number.

It is an amenable number.

73353 is a deficient number, since it is larger than the sum of its proper divisors (40647).

73353 is a wasteful number, since it uses less digits than its factorization.

73353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its digits is 945, while the sum is 21.

The square root of 73353 is about 270.8375897101. The cubic root of 73353 is about 41.8606492742.

The spelling of 73353 in words is "seventy-three thousand, three hundred fifty-three".