61829 has 4 divisors (see below), whose sum is σ = 65484. Its totient is φ = 58176.

The previous prime is 61819. The next prime is 61837. The reversal of 61829 is 92816.

61829 = 25² + 26² + ... + 58².

61829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 21025 + 40804 = 145^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 61829 - 2⁴ = 61813 is a prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 61798 and 61807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1802 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (16371).

2⁶¹⁸²⁹ is an apocalyptic number.

It is an amenable number.

61829 is a deficient number, since it is larger than the sum of its proper divisors (3655).

61829 is a wasteful number, since it uses less digits than its factorization.

61829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654.

The product of its digits is 864, while the sum is 26.

The square root of 61829 is about 248.6543786061. The cubic root of 61829 is about 39.5424955248.

The spelling of 61829 in words is "sixty-one thousand, eight hundred twenty-nine".