451901 has 2 divisors, whose sum is σ = 451902. Its totient is φ = 451900.

The previous prime is 451897. The next prime is 451903. The reversal of 451901 is 109154.

451901 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 60025 = 626^2 + 245^2 .

It is a cyclic number.

It is not a de Polignac number, because 451901 - 2² = 451897 is a prime.

It is a Sophie Germain prime.

Together with 451903, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (451903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 225950 + 225951.

It is an arithmetic number, because the mean of its divisors is an integer number (225951).

2⁴⁵¹⁹⁰¹ is an apocalyptic number.

It is an amenable number.

451901 is a deficient number, since it is larger than the sum of its proper divisors (1).

451901 is an equidigital number, since it uses as much as digits as its factorization.

451901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 451901 is about 672.2358217173. The cubic root of 451901 is about 76.7386993657.

It can be divided in two parts, 451 and 901, that multiplied together give a triangular number (406351 = T₉₀₁).

The spelling of 451901 in words is "four hundred fifty-one thousand, nine hundred one".