102973 has 6 divisors (see below), whose sum is σ = 112154. Its totient is φ = 93984.

The previous prime is 102967. The next prime is 102983. The reversal of 102973 is 379201.

It can be written as a sum of positive squares in 3 ways, for example, as 1849 + 101124 = 43^2 + 318^2 .

It is not a de Polignac number, because 102973 - 2⁹ = 102461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102913) 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, 1113 + ... + 1201.

2¹⁰²⁹⁷³ is an apocalyptic number.

102973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102973 is a deficient number, since it is larger than the sum of its proper divisors (9181).

102973 is an frugal number, since it uses more digits than its factorization.

102973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 102973 is about 320.8940635163. The cubic root of 102973 is about 46.8713852027.

The spelling of 102973 in words is "one hundred two thousand, nine hundred seventy-three".