363461 has 8 divisors (see below), whose sum is σ = 419520. Its totient is φ = 308448.

The previous prime is 363439. The next prime is 363463. The reversal of 363461 is 164363.

363461 = T₁₁₀ + T₁₁₁ + ... + T₁₅₁.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 363461 - 2⁶ = 363397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (52440).

2³⁶³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

363461 is a deficient number, since it is larger than the sum of its proper divisors (56059).

363461 is a wasteful number, since it uses less digits than its factorization.

363461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its digits is 1296, while the sum is 23.

The square root of 363461 is about 602.8772677751. The cubic root of 363461 is about 71.3651099193.

The spelling of 363461 in words is "three hundred sixty-three thousand, four hundred sixty-one".