35973 has 12 divisors (see below), whose sum is σ = 59488. Its totient is φ = 20520.

The previous prime is 35969. The next prime is 35977. The reversal of 35973 is 37953.

It is an interprime number because it is at equal distance from previous prime (35969) and next prime (35977).

It is not a de Polignac number, because 35973 - 2² = 35969 is a prime.

It is a Duffinian number.

It is a Curzon number.

35973 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35977) 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, 223 + ... + 348.

2³⁵⁹⁷³ is an apocalyptic number.

It is an amenable number.

35973 is a deficient number, since it is larger than the sum of its proper divisors (23515).

35973 is a wasteful number, since it uses less digits than its factorization.

35973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 35973 is about 189.6654950169. The cubic root of 35973 is about 33.0110156063.

It can be divided in two parts, 3597 and 3, that added together give a square (3600 = 60²).

The spelling of 35973 in words is "thirty-five thousand, nine hundred seventy-three".