354973 has 2 divisors, whose sum is σ = 354974. Its totient is φ = 354972.

The previous prime is 354971. The next prime is 354979. The reversal of 354973 is 379453.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 344569 + 10404 = 587^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 354973 - 2¹ = 354971 is a prime.

Together with 354971, it forms a pair of twin primes.

354973 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (354971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 177486 + 177487.

It is an arithmetic number, because the mean of its divisors is an integer number (177487).

2³⁵⁴⁹⁷³ is an apocalyptic number.

It is an amenable number.

354973 is a deficient number, since it is larger than the sum of its proper divisors (1).

354973 is an equidigital number, since it uses as much as digits as its factorization.

354973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 31.

The square root of 354973 is about 595.7961060631. The cubic root of 354973 is about 70.8051923586.

It can be divided in two parts, 35497 and 3, that multiplied together give a triangular number (106491 = T₄₆₁).

The spelling of 354973 in words is "three hundred fifty-four thousand, nine hundred seventy-three".