363649 has 8 divisors (see below), whose sum is σ = 427392. Its totient is φ = 305040.

The previous prime is 363619. The next prime is 363659. The reversal of 363649 is 946363.

363649 = T₂₃₀ + T₂₃₁ + ... + T₂₄₂.

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

It is a cyclic number.

It is not a de Polignac number, because 363649 - 2¹³ = 355457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 363649.

It is not an unprimeable number, because it can be changed into a prime (363619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129 + ... + 1414.

It is an arithmetic number, because the mean of its divisors is an integer number (53424).

2³⁶³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

363649 is a deficient number, since it is larger than the sum of its proper divisors (63743).

363649 is a wasteful number, since it uses less digits than its factorization.

363649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567.

The product of its digits is 11664, while the sum is 31.

The square root of 363649 is about 603.0331665837. The cubic root of 363649 is about 71.3774123196.

The spelling of 363649 in words is "three hundred sixty-three thousand, six hundred forty-nine".