61083 has 12 divisors (see below), whose sum is σ = 96408. Its totient is φ = 36960.

The previous prime is 61057. The next prime is 61091. The reversal of 61083 is 38016.

It is not a de Polignac number, because 61083 - 2⁵ = 61051 is a prime.

It is a super-2 number, since 2×61083² = 7462265778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61043) 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 in 11 ways as a sum of consecutive naturals, for example, 210 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (8034).

2⁶¹⁰⁸³ is an apocalyptic number.

61083 is a deficient number, since it is larger than the sum of its proper divisors (35325).

61083 is a wasteful number, since it uses less digits than its factorization.

61083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

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

The square root of 61083 is about 247.1497521747. The cubic root of 61083 is about 39.3828177977.

Adding to 61083 its reverse (38016), we get a palindrome (99099).

It can be divided in two parts, 6 and 1083, that added together give a square (1089 = 33²).

The spelling of 61083 in words is "sixty-one thousand, eighty-three".