61803 has 20 divisors (see below), whose sum is σ = 106480. Its totient is φ = 34992.

The previous prime is 61781. The next prime is 61813. The reversal of 61803 is 30816.

It is not a de Polignac number, because 61803 - 2⁸ = 61547 is a prime.

It is a super-2 number, since 2×61803² = 7639221618, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61813) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 513 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (5324).

2⁶¹⁸⁰³ is an apocalyptic number.

61803 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

61803 is a deficient number, since it is larger than the sum of its proper divisors (44677).

61803 is a wasteful number, since it uses less digits than its factorization.

61803 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61803 is about 248.6020917048. The cubic root of 61803 is about 39.5369520149.

The spelling of 61803 in words is "sixty-one thousand, eight hundred three".